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Minimal bundles and fine moduli spaces

Georg Hein

Number 2
Author Georg Hein
Year 2009

We study sheaves E on a smooth projective curve X which are minimal with respect to the property that h0(EL)>0 for all line bundles L of degree zero. We show that these sheaves define ample divisors D(E) on the Picard torus Pic(X). Next we classify all minimal sheaves of rank one and two. As an application we show that the moduli space parameterizing rank two bundles of odd degree can be obtained as a Quot scheme.

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